10116403066440 has 384 divisors, whose sum is σ = 37983779608320. Its totient is φ = 2307792076800.

The previous prime is 10116403066433. The next prime is 10116403066489. The reversal of 10116403066440 is 4466030461101.

10116403066440 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 6 + 4 + 0 + 3 + 0 + 6 + 644 + 0 = 666.

It is a super-2 number, since 2×10116403066440² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10116403066395 and 10116403066404.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 554101792 + ... + 554120048.

It is an arithmetic number, because the mean of its divisors is an integer number (98916092730).

Almost surely, 2^{10116403066440} is an apocalyptic number.

10116403066440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10116403066440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18991889804160).

10116403066440 is an abundant number, since it is smaller than the sum of its proper divisors (27867376541880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10116403066440 is a wasteful number, since it uses less digits than its factorization.

10116403066440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26533 (or 26526 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 10116403066440 in words is "ten trillion, one hundred sixteen billion, four hundred three million, sixty-six thousand, four hundred forty".